Below is a selection of carefully chosen interview-style mathematics questions designed to help you prepare for Cambridge or Oxford Maths interviews, as well as interviews and admissions assessments for other leading universities. These problems develop key skills such as graph sketching, mathematical proof, creative problem solving, and the ability to think clearly when faced with unfamiliar ideas — all qualities that admissions tutors look for in strong mathematics applicants.

Below the table you’ll find links to TBO’s Problem Solving Booklet and its solutions, as well as four sample Cambridge University mathematics interview tests for additional practice.

If you find these questions challenging and would like support with your preparation, I offer one-to-one tuition focused on developing the problem-solving and mathematical reasoning skills required for competitive mathematics courses. I can also run realistic mock interviews with detailed feedback to help you build confidence and perform at your best. For more information, please visit my University Interview Preparation and Coaching page.